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Finding the Third Proportional to 133,207.50 and 290,823

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Solution

The third proportional to 133,207.50 and 290,823 is: 634,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,207.50 : 290,823 = 290,823 : x
  2. Step 2: Convert to fraction form
    133,207.50/290,823 = 290,823/x
  3. Step 3: Cross multiply
    133,207.50x = 290,823 × 290,823
  4. Step 4: Simplify right side
    133,207.50x = 84,578,017,329
  5. Step 5: Solve for x
    x = 84,578,017,329/133,207.50
  6. Step 6: Final answer
    x = 634,934.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.